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Question

Crystal system 'A' has all the edge lengths as same, a=b=c. Which of the following is the possible crystal system for the given crystal 'A'?

A
Cubic
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B
Rhombohedral
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C
Both (a) and (b)
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D
None of the above
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Solution

The correct option is C Both (a) and (b)
For 3D-space lattice, there are seven unique and basic unit-cell shapes (primitive unit cells) with varying elements of symmetry in a three-dimensional space.
Out of 7 crystal system, only cubic and rhombohedral has same edge length for all the sides.
Cubic crystal system:
a=b=c; α=β=γ=90o

NaCl, ZnS and Cu are examples of cubic crystals.

Rhombohedral crystal system:
a=b=c; α=β=γ90o

Calcite and HgS are examples of rhombohedral crystals.

Hence, the correct answer is option (c).

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